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Finding the Fourth Proportional to 82.17, 122.90 and 49.59

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Solution

The fourth proportional to 82.17, 122.90 and 49.59 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.17 : 122.90 = 49.59 : x
  2. Step 2: Convert to fraction form
    82.17/122.90 = 49.59/x
  3. Step 3: Cross multiply
    82.17x = 122.90 × 49.59
  4. Step 4: Simplify right side
    82.17x = 6,094.36
  5. Step 5: Solve for x
    x = 6,094.36/82.17
  6. Step 6: Final answer
    x = 74.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.